Remember the necklace with 24 beads? How many ways to make a necklace with eight beads each of three different colors? I looked up an old open university...
While researching the necklace question I came across some other interesting counting questions. 1) How many ways can you paint a cube using three colors? Each...
I think half of these are false. 1. Paper used to be made from cotton. the Kraft Process for making paper from wood was invented in 1884. 5. this is...
In a message dated 9/1/2006 7:25:55 PM Central Standard Time, ... I read about that after a previous post. What's it feel like? How does it bend? Is it like...
... is ... I did this the way jwwarrenva solved the necklace problem, then again using the idea that you described in your previous message which seems like an...
Hello. I was looking through an old notebook of mine and found the equation f(z)=z+f(z^2). In the notebook I had found the Taylor series of a function...
... series ... diverges ... this ... because ... on. ... function ... statement. ... continous? ... the ... series. ... the ... Are ... is "yes" ... Defining: ...
... does it bend? Is it like paper, or plastic sheet? ... It bends just fine - and strangely [after all this time] it feels just like money. It even smells...
... does it ... Of course this does mean that even tha cash purchaser can go into a department store and "hit the plastic". [AT least here that is the common...
... Interesting. From what you say it is enough to define f on the interval between z=e and z=e^2, or since the choice of [0,1] for x is arbitrary, between...
In a message dated 9/2/2006 7:19:26 PM Central Standard Time, ... One of the small surprises I got when I first went to Europe was that all of their money is...
... Your argument is correct; indeed, most *real numbers* can't be specified in finite terms, in the sense that no Turing machine will print their digits/bits....
... Ain't this the truth especially in bars. How often I think I am sure I left a 20 and got change for a 10. It happened 2 days ago. The front of a 20 and a...
Wow; I've never had the slightest problem with U.S. currency. ... that all ... bills are ... them. ... I left ... similar to ... trust and ... against. I ... ...
... I >left a 20 and got change for a 10. It happened 2 days ago. The front of >a 20 and a 10 look similar to me. DOn't get me wrong: even when one is blue and...
In a message dated 9/3/2006 9:21:34 PM Central Standard Time, ... Try using it with your eyes closed. stevo [Non-text portions of this message have been...
In a message dated 9/4/2006 9:44:26 PM Central Standard Time, ... I've never needed to use USA paper currency with my eyes closed either, but it's an easy way...
Oh woe is me... Your humble friend and narrator and master and commander can't long in with my usual name cos my password seems to have mysteriously changed....
Let A(n) = {1,2,3,4, … 8} and B(n) = {1,2,3,4, …. 16} be two sets of consecutive integers with no repetition. Divide the set of elements B(n) into two...
... I just formed a set of 8 such equations. I wondered if they constituted 8 of the 48 solutions, or just 1 of them? I then came back to the post looking for...
... them? ... what ... Its just one of 48 solutions. The number of solutions multiplies rapidly as n = 4m with m > 2, but I suspect the added complexity might...
... A few years ago my password stopped working for some unexplained reason , but it seems it was only necessary to enter some personal information to get a...
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